When reflecting a point across the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign. For the point (1, 6), the x-coordinate is 1 and the y-coordinate is 6.
After the reflection, we keep the x-coordinate as 1 and change the y-coordinate from 6 to -6. Therefore, the new coordinates of the point after reflection across the x-axis are (1, -6).